From the press release:
In VANYA AND SONIA AND MASHA AND SPIKE, master of comedy, Christopher Durang, takes characters and themes from Chekhov, pours them into a blender and mixes them up. The utterly hilarious and occasionally touching result is his latest play set in present day Bucks County, Pennsylvania.
Vanya (David Hyde Pierce) and his stepsister Sonia (Kristine Nielsen) have lived their entire lives in their family’s farmhouse. While they stayed home to take care of their ailing parents, their sister Masha (Sigourney Weaver) has been gallivanting around the world as a successful actress and movie star, leaving Vanya and Sonia to feel trapped and regretful. Their soothsayer/cleaning woman Cassandra (Shalita Grant) keeps warning them about terrible things in the future, which include a sudden visit from Masha and her twenty-something boy toy Spike (Billy Magnussen).
I doubt that he will have nudity in this play, but Durang is a master and in addition, it seems Billy is always in his undies based on these pics from the show.
Thank heavens for Boardwalk Empire where our Billy flashed his cock, albeit very quickly.
MALE NUDITY in NEW YORK STAGE 
I saw the play. He is not naked but does spend several scenes shirtless and in briefs. It is a very funny show and the
actors are all very good.